The info provided this far is correct.
Terminology is important here.
Micro rotary tools are typically what we usually think of when we think dental drills. All (as far as I know) are pneumaticallynpowered, and run at speeds in excess of 300,000 RPM (yes, that is three hundred thousand). They take very small bits, and are usually friction mounted. 1/8 inch is the largest shaft they will take. These are used for artistic engraving and piercing. Advantages re that they are not affected by grain patterns,mand can achieve phenomenal detail with good technique.
Brands like Nakanishi, Neiko, power and turbo carver, and Shofu are typical of this type. Decent ones run from several hundred dollars to upwards of 500 dollars.
Mini-rotary tools/engravers/mini-die grinders are high speed electric (most of them) tools. They run at speeds anywhere up to about 100,000 RPM (most in the 45,000 RPM range. They take small and large bits (1/4 inch) can achieve good results on various materials, but are affected by material type and grain patterns. Typically, they are used for macro engraving, rather than micro realm work.
Brands like Weecheer, Foredom, and Master Carver are these type. Decent quality can be had for as little as 150 dollars.